Thinking Mathematically Algebra: Equations and Inequalities 6.4 Linear Inequalities in One Variable

Inequalities Solving – finding the set of numbers that satisfy the inequality. English phrases: –At least –At most –Is between –Is no more than –Is no less than

Graphing Inequalities Inequalities can be graphed on a number line by marking all of the points on the line that correspond to numbers that will make the inequality a true statement. An open circle indicates that a point is not part of the solution A closed circle indicates that a point is part of the solution

Examples: Graphing Inequalities Exercise Set 6.4 #3, #9

The procedure for solving linear inequalities is the same as the procedure for solving linear equations, with one important exception: When multiplying or dividing both sides of the inequality by a negative number, reverse the direction of the inequality symbol, changing the sense of the inequality. Solving Linear Inequalities

Examples: Solving Linear Inequalities Exercise Set 6.5 #33, #49, #61

Thinking Mathematically Algebra: Equations and Inequalities 6.4 Linear Inequalities in One Variable